Existence of solutions for Hamiltonian field theories by the Hamilton-Jacobi technique
Journal Article
·
· Journal of Mathematical Physics
- Dipartimento di Matematica dell'Universita di Genova Via Dodecaneso, 35-16146 Genova (Italy)
The paper is devoted to prove the existence of a local solution of the Hamilton-Jacobi equation in field theory, whence the general solution of the field equations can be obtained. The solution is adapted to the choice of the submanifold where the initial data of the field equations are assigned. Finally, a technique to obtain the general solution of the field equations, starting from the given initial manifold, is deduced.
- OSTI ID:
- 21501244
- Journal Information:
- Journal of Mathematical Physics, Vol. 52, Issue 1; Other Information: DOI: 10.1063/1.3533762; (c) 2011 American Institute of Physics; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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